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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 598 · 40 sums
TalentJR

The method (90, 180, equal): Complement of a = 90 − a. Supplement of a = 180 − a. Lines crossing: vertically opposite angles are equal; a linear pair adds up to 180°. Parallel lines: corresponding angles equal, alternate interior angles equal, interior angles on the same side add up to 180°. One angle d° more than the other: bigger = (total + d) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 84°. What is its corresponding angle (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One angle is 38°. What is its corresponding angle (in degrees)?
  4. 4.What is the complement of 70° (in degrees)?
  5. 5.What is the supplement of 41° (in degrees)?
  6. 6.What is the supplement of 29° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 45°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 85°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 92°. What is its alternate interior angle (in degrees)?
  10. 10.Are 74° and 16° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.Are 43° and 137° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  12. 12.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  13. 13.What is the complement of 41° (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 142°. What is its other interior angle on the same side of the transversal (in degrees)?
  15. 15.What is the supplement of 158° (in degrees)?
  16. 16.What is the complement of 27° (in degrees)?
  17. 17.Are 69° and 111° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  18. 18.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two angles are supplementary. One is 136° more than the other. What is the bigger angle (in degrees)?
  20. 20.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 48°. What is the angle next to it on the same line (in degrees)?
  22. 22.What is the complement of 65° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 104°. What is the angle vertically opposite to it (in degrees)?
  24. 24.What is the supplement of 151° (in degrees)?
  25. 25.Two parallel lines are cut by a transversal. One interior angle is 126°. What is its alternate interior angle (in degrees)?
  26. 26.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
  27. 27.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the complement of 8° (in degrees)?
  29. 29.What is the complement of 60° (in degrees)?
  30. 30.What is the supplement of 20° (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 123°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the complement of 7° (in degrees)?
  34. 34.Two angles are supplementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  36. 36.What is the complement of 14° (in degrees)?
  37. 37.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  38. 38.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  39. 39.What is the complement of 74° (in degrees)?
  40. 40.Are 78° and 12° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary

Answer key

  1. 143
  2. 84
  3. 38
  4. 20
  5. 139
  6. 151
  7. 45
  8. 85
  9. 92
  10. Complementary
  11. Supplementary
  12. 115
  13. 49
  14. 38
  15. 22
  16. 63
  17. Supplementary
  18. 113
  19. 158
  20. 78
  21. 132
  22. 25
  23. 104
  24. 29
  25. 126
  26. 132
  27. 71
  28. 82
  29. 30
  30. 160
  31. 123
  32. 133
  33. 83
  34. 97
  35. 58
  36. 76
  37. 50
  38. 108
  39. 16
  40. Complementary

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